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Finding the Third Proportional to 1,028,259,173 and 1,566,481,723

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Solution

The third proportional to 1,028,259,173 and 1,566,481,723 is: 2,386,426,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,259,173 : 1,566,481,723 = 1,566,481,723 : x
  2. Step 2: Convert to fraction form
    1,028,259,173/1,566,481,723 = 1,566,481,723/x
  3. Step 3: Cross multiply
    1,028,259,173x = 1,566,481,723 × 1,566,481,723
  4. Step 4: Simplify right side
    1,028,259,173x = 2,453,864,988,493,048,832
  5. Step 5: Solve for x
    x = 2,453,864,988,493,048,832/1,028,259,173
  6. Step 6: Final answer
    x = 2,386,426,547.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.